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Dot Product of Two Vectors

Let A vector ...

Question

Let A vector =2i +j and B vector =3j-k and c vector =6i -2k find the value of A-2B +3c

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Similar questions

a = 6 i - 3 j - k

b = 2 i + 3 j + k

, find a unit vector which is perpendicular to the vectors

a + b

a - b

Q. If the position vectors of the point

A, B

C

- 2 i + j - k, - 4 i + 2 j + 2 k

6 i - 3 j - 13 k

respectively and

A B = λ A C

, then find the value of

λ

Q. Find the cosine angles between the vectors

2 ¯ i + 2 ¯ j - ¯ ¯ ¯ k

6 ¯ i - 3 ¯ j + 2 ¯ ¯ ¯ k

Q. (i) Find a vector of magnitude 49, which is perpendicular to both the vectors

2 \hat{i} + 3 \hat{j} + 6 \hat{k} and 3 \hat{i} - 6 \hat{j} + 2 \hat{k} .

(ii) Find a vector whose length is 3 and which is perpendicular to the vector

\vec{a} = 3 \hat{i} + \hat{j} - 4 \hat{k} and \vec{b} = 6 \hat{i} + 5 \hat{j} - 2 \hat{k} .

Q. 1.Find the projection of the vector i-j on the vector i+j.
2.Find the projection of the vector

2 ˆ i + 3 ˆ j + 2 ˆ k

ˆ i + 2 ˆ j + ˆ k .

.
3.Find the projection of

\to a = ˆ i + 3 ˆ j + ˆ k a l o n g \to b = 2 ˆ i - 3 ˆ j + 6 ˆ k .

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